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Finding the Fourth Proportional to 53,100.40, 79,653.48 and 13,657.84

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Solution

The fourth proportional to 53,100.40, 79,653.48 and 13,657.84 is: 20,487.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,100.40 : 79,653.48 = 13,657.84 : x
  2. Step 2: Convert to fraction form
    53,100.40/79,653.48 = 13,657.84/x
  3. Step 3: Cross multiply
    53,100.40x = 79,653.48 × 13,657.84
  4. Step 4: Simplify right side
    53,100.40x = 1,087,894,485.28
  5. Step 5: Solve for x
    x = 1,087,894,485.28/53,100.40
  6. Step 6: Final answer
    x = 20,487.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.